# Institute of Pure Mathematics

## Pure Mathematics research themes

- Algebra
- Combinatorics
- Group Theory
- Mathematical Logic and Set Theory
- Number Theory
- Representation Theory
- Set Theory and Logic

Pure Mathematics research outputs

Pure mathematics is concerned with discovering, understanding and explaining abstract mathematical structures. While these structures are frequently generalisations of concepts grounded in real-world phenomena, their elegance and descriptive power makes them of interest in their own right. As a result of the greater degree of abstraction, pure mathematics can often facilitate the discovery of new connections between different branches of mathematics.

Even though pure and applied mathematics have different philosophical positions, in practice there is a lot of interaction between pure mathematicians and other scientists. Pure mathematicians build the tools that applied mathematicians, physicists, biologists, computer scientists and engineers use to solve real-world problems. But sometimes this flow is reversed and pure mathematicians draw on natural phenomena, such as quantum mechanics or gene research, as inspiration for their abstract research.

## Postgraduate study

The Institute of Pure Mathematics is keen to take on postgraduate students.